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Q: Which one is a rule for the n th term of an arithmetic sequence with a8 equals 56 and d equals 5?

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The nth term of an arithmetic sequence = a + [(n - 1) X d]

The 90th term of the arithmetic sequence is 461

It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93

Nth number in an arithmetic series equals 'a + nd', where 'a' is the first number, 'n' signifies the Nth number and d is the amount by which each term in the series is incremented. For the 5th term it would be a + 5d

The answer depends on what the explicit rule is!

It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.

An arithmetic sequence

Arithmetic Sequence

Arithmetic- the number increases by 10 every term.

In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.

The one number, 491419 does not constitute a sequence!

One number, such as 7101316 does not define a sequence.

A term in math usually refers to a # in a arithmetic/geometric sequence

-13

It is a + 8d where a is the first term and d is the common difference.

There is only one type of arithmetic sequence.The sequence may be defined by a "position-to-value" rule. This would be of the form:U(n) = a + n*dwhere a a constant which equals what the 0th term in the sequence would be,d is also a constant - the common difference between each term in the sequence and the preceding term.and n is a variable that is a counter for the position of the term in the sequence.The same sequence can be defined iteratively by:U(0) = aU(n+1) = U(n) + d for n = 1, 2, 3, ...

6

i dont get it

Because that is how it is defined and derived.

It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b

A sequence where a particular number is added to or subtracted from any term of the sequence to obtain the next term in the sequence. It is often call arithmetic progression, and therefore often written as A.P. An example would be: 2, 4, 6, 8, 10, ... In this sequence 2 is added to each term to obtain the next term.

The constant increment.

It is: 0.37*term+0.5

10,341

The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.